feat: Integrate search component on Home screen

[mjkeaton]

📝 Description

Work in progress.

Relates to #212.

---

📸 Screenshots/Screen record (if applicable)

If your changes include UI updates, please add before and after screenshots/screen records:

Before:
[Attach screenshot/screen record]

After:
[Attach screenshot/screen record]

[vercel]

The latest updates on your projects. Learn more about Vercel for Git ↗︎

Name	Status	Preview	Updated (UTC)
e-bill-frontend	✅ Ready (Inspect)	Visit Preview	Jan 8, 2025 0:58am

[codecov]

Codecov Report

Attention: Patch coverage is 2.02703% with 290 lines in your changes missing coverage. Please review.

Files with missing lines	Patch %	Lines
src/pages/home/HomeSearch.tsx	0.00%	95 Missing ⚠️
src/pages/home/components/SearchTypeFilter.tsx	0.00%	57 Missing ⚠️
src/pages/home/index.tsx	0.00%	44 Missing ⚠️
src/mocks/handlers/home/search.ts	0.00%	42 Missing ⚠️
src/services/search.ts	0.00%	15 Missing ⚠️
src/mocks/handlers/utils.ts	6.66%	14 Missing ⚠️
src/components/ui/search.tsx	0.00%	7 Missing ⚠️
src/pages/contacts/Overview.tsx	0.00%	5 Missing ⚠️
src/utils/dev.ts	16.66%	5 Missing ⚠️
src/mocks/handlers.ts	0.00%	2 Missing ⚠️
... and 3 more

📢 Thoughts on this report? Let us know!